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Finding the Third Proportional to 17,129 and 25,694

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Solution

The third proportional to 17,129 and 25,694 is: 38,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129 : 25,694 = 25,694 : x
  2. Step 2: Convert to fraction form
    17,129/25,694 = 25,694/x
  3. Step 3: Cross multiply
    17,129x = 25,694 × 25,694
  4. Step 4: Simplify right side
    17,129x = 660,181,636
  5. Step 5: Solve for x
    x = 660,181,636/17,129
  6. Step 6: Final answer
    x = 38,541.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.